ApCoCoA-1:BB.CoeffOfBB: Difference between revisions
From ApCoCoAWiki
m Bot: fixed typo |
m insert version info |
||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
{{Version|1}} | |||
<command> | <command> | ||
<title>BB.CoeffOfBB</title> | <title>BB.CoeffOfBB</title> | ||
| Line 38: | Line 39: | ||
<type>coefficient</type> | <type>coefficient</type> | ||
</types> | </types> | ||
<see>BB.BBscheme</see> | <see>ApCoCoA-1:BB.BBscheme|BB.BBscheme</see> | ||
<see>BB.HomBBscheme</see> | <see>ApCoCoA-1:BB.HomBBscheme|BB.HomBBscheme</see> | ||
<key>CoeffOfBB</key> | <key>CoeffOfBB</key> | ||
<key>BB.CoeffOfBB</key> | <key>BB.CoeffOfBB</key> | ||
Latest revision as of 09:40, 7 October 2020
| This article is about a function from ApCoCoA-1. |
BB.CoeffOfBB
Computes the coefficient matrix of a border basis.
Syntax
BB.CoeffOfBB(BB:LIST,OO:LIST):MAT
Description
Computes the coefficient matrix of the OO-border basis BB of the ideal generated by the polynomials of BB. The output is a matrix.
@param BB A list of terms representing the OO-border basis of the ideal generated by the polynomials of BB.
@param OO A list of terms representing an order ideal.
@return The coefficient matrix.
Example
Use QQ[x,y];
BB.CoeffOfBB([xy^2, x^3 + xy, y^4, xy^3, x^2y^2, x^3y],
[1, y, y^2, y^3, x, xy, x^2, x^2y]);
-------------------------------
Mat([
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0]
])
-------------------------------
